Answer: 3p² + q² - 5pq - 10 < 0
<u>Step-by-step explanation:</u>
p² - q² + 2pq < -2p² - 2q² + 7pq + 10
since you didn't specify what to solve for, move everything from the right side to the left side of the inequality symbol using inverse operations.
(p² + 2p²) + (- q² + 2q²) + (2pq - 7pq) + (- 10) < 0
3p² + q² + -5pq + -10 < 0
3p² + q² - 5pq - 10 < 0
Answer:
0.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
number one is 10
number two is (c) they have the same median
X = 10 per set dishes, and y = 35 per set dishes
x + y = 200....x = 200 - y
10x + 35y = 4250
10(200 - y) + 35y = 4250
2000 - 10y + 35y = 4250
-10y + 35y = 4250 - 2000
25y = 2250
y = 2250/25
y = 90 <=== he got 90 of the $ 35 dishes
x + y = 200
x + 90 = 200
x = 200 - 90
x = 110 <=== he got 110 of the $ 10 dishes
Answer:
Angle B = 106.6 degrees
Step-by-step explanation:
b^2= a^2+c^2-2*a*c*cosB
9*9 = 4*4 + 7*7 - 2*7*4*cosB
81= 16+49-56cosB Subtract 16 and 49 from both sides
16= -56cosB Divide by -56 on both sides.
cosB= -16/56 Take the arccosine of both sides
B=arccos(-16/56)
B= 106.6
